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182 Memorial Drive, Cambridge, MA

https://math.mit.edu/pde-analysis/ #PDE
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Speaker Lei Yang (Institute for Advanced Study)

Title: effective versions of Ratner’s equidistribution theorem

Abstract: I will talk about recent progress in the study of quantitative equidistribution of unipotent orbits in homogeneous spaces, namely, effective versions of Ratner’s equidistribution theorem. In particular, I will explain the main idea of my proof for unipotent orbits in SL(3,R)/SL(3,Z). The proof combines new ideas from harmonic analysis and incidence geometry. In particular, the quantitative behavior of unipotent orbits is closely related to a Kakeya model.

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